10142366653416 has 128 divisors (see below), whose sum is σ = 26755535658240. Its totient is φ = 3197559552000.

The previous prime is 10142366653357. The next prime is 10142366653429. The reversal of 10142366653416 is 61435666324101.

It is a happy number.

10142366653416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42307746 + ... + 42546798.

It is an arithmetic number, because the mean of its divisors is an integer number (209027622330).

Almost surely, 2^{10142366653416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142366653416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13377767829120).

10142366653416 is an abundant number, since it is smaller than the sum of its proper divisors (16613169004824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10142366653416 is a wasteful number, since it uses less digits than its factorization.

10142366653416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239947 (or 239943 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 10142366653416 in words is "ten trillion, one hundred forty-two billion, three hundred sixty-six million, six hundred fifty-three thousand, four hundred sixteen".